Network Flows That Solve Linear Equations

We study distributed network flows as solvers in continuous time for the linear algebraic equation z = Hy. Each node i has access to a row h T i of the matrix H and the corresponding entry z i in the vector z. The first "consensus + projection" flow under investigation consists of two term...

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Veröffentlicht in:	IEEE transactions on automatic control 2017-06, Vol.62 (6), p.2659-2674
Hauptverfasser:	Guodong Shi, Anderson, Brian D. O., Helmke, Uwe
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Australia Computer networks Convergence distributed computation Exact solutions Feedback Graph theory Graphs Illustrations Least squares method linear algebraic equations Linear equations Mathematical model Matrices (mathematics) Matrix methods Networks Optimization Projection Solvers State feedback Subspaces Switches Switching
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